Central DOA Estimation Method for Exponential-Type Coherent Distributed Source Based on Fourth-Order Cumulant

The performance of direction-of-arrival (DOA) estimation for sparse arrays applied to the distributed source is worse than that applied to the point source model. In this paper, we introduce the coprime array with a large array aperture into the DOA estimation algorithm of the exponential-type coher...

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Main Authors: Hao Li, Weijia Cui, Bin Ba, Haiyun Xu, Yankui Zhang
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2020/8968136
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author Hao Li
Weijia Cui
Bin Ba
Haiyun Xu
Yankui Zhang
author_facet Hao Li
Weijia Cui
Bin Ba
Haiyun Xu
Yankui Zhang
author_sort Hao Li
collection DOAJ
description The performance of direction-of-arrival (DOA) estimation for sparse arrays applied to the distributed source is worse than that applied to the point source model. In this paper, we introduce the coprime array with a large array aperture into the DOA estimation algorithm of the exponential-type coherent distributed source. In particular, we focus on the fourth-order cumulant (FOC) of the received signal which can provide more useful information when the signal is non-Gaussian than when it is Gaussian. The proposed algorithm extends the array aperture by combining the sparsity of array space domain with the fourth-order cumulant characteristics of signals, which improves the estimation accuracy and degree of freedom (DOF). Firstly, the signal-received model of the sparse array is established, and the fourth-order cumulant matrix of the received signal of the sparse array is calculated based on the characteristics of distributed sources, which extend the array aperture. Then, the virtual array is constructed by the sum aggregate of physical array elements, and the position set of its maximum continuous part array element is obtained. Finally, the center DOA estimation of the distributed source is realized by the subspace method. The accuracy and DOF of the proposed algorithm are higher than those of the distributed signal parameter estimator (DSPE) algorithm and least-squares estimation signal parameters via rotational invariance techniques (LS-ESPRIT) algorithm when the array elements are the same. Complexity analysis and numerical simulations are provided to demonstrate the superiority of the proposed method.
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institution Kabale University
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publishDate 2020-01-01
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series International Journal of Antennas and Propagation
spelling doaj-art-7cc92fc92901420c9e67230794e2c8562025-02-03T06:43:25ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772020-01-01202010.1155/2020/89681368968136Central DOA Estimation Method for Exponential-Type Coherent Distributed Source Based on Fourth-Order CumulantHao Li0Weijia Cui1Bin Ba2Haiyun Xu3Yankui Zhang4National Digital Switching System Engineering & Technological Research Center, Zhengzhou, Henan Province 450001, ChinaNational Digital Switching System Engineering & Technological Research Center, Zhengzhou, Henan Province 450001, ChinaNational Digital Switching System Engineering & Technological Research Center, Zhengzhou, Henan Province 450001, ChinaNational Digital Switching System Engineering & Technological Research Center, Zhengzhou, Henan Province 450001, ChinaNational Digital Switching System Engineering & Technological Research Center, Zhengzhou, Henan Province 450001, ChinaThe performance of direction-of-arrival (DOA) estimation for sparse arrays applied to the distributed source is worse than that applied to the point source model. In this paper, we introduce the coprime array with a large array aperture into the DOA estimation algorithm of the exponential-type coherent distributed source. In particular, we focus on the fourth-order cumulant (FOC) of the received signal which can provide more useful information when the signal is non-Gaussian than when it is Gaussian. The proposed algorithm extends the array aperture by combining the sparsity of array space domain with the fourth-order cumulant characteristics of signals, which improves the estimation accuracy and degree of freedom (DOF). Firstly, the signal-received model of the sparse array is established, and the fourth-order cumulant matrix of the received signal of the sparse array is calculated based on the characteristics of distributed sources, which extend the array aperture. Then, the virtual array is constructed by the sum aggregate of physical array elements, and the position set of its maximum continuous part array element is obtained. Finally, the center DOA estimation of the distributed source is realized by the subspace method. The accuracy and DOF of the proposed algorithm are higher than those of the distributed signal parameter estimator (DSPE) algorithm and least-squares estimation signal parameters via rotational invariance techniques (LS-ESPRIT) algorithm when the array elements are the same. Complexity analysis and numerical simulations are provided to demonstrate the superiority of the proposed method.http://dx.doi.org/10.1155/2020/8968136
spellingShingle Hao Li
Weijia Cui
Bin Ba
Haiyun Xu
Yankui Zhang
Central DOA Estimation Method for Exponential-Type Coherent Distributed Source Based on Fourth-Order Cumulant
International Journal of Antennas and Propagation
title Central DOA Estimation Method for Exponential-Type Coherent Distributed Source Based on Fourth-Order Cumulant
title_full Central DOA Estimation Method for Exponential-Type Coherent Distributed Source Based on Fourth-Order Cumulant
title_fullStr Central DOA Estimation Method for Exponential-Type Coherent Distributed Source Based on Fourth-Order Cumulant
title_full_unstemmed Central DOA Estimation Method for Exponential-Type Coherent Distributed Source Based on Fourth-Order Cumulant
title_short Central DOA Estimation Method for Exponential-Type Coherent Distributed Source Based on Fourth-Order Cumulant
title_sort central doa estimation method for exponential type coherent distributed source based on fourth order cumulant
url http://dx.doi.org/10.1155/2020/8968136
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AT weijiacui centraldoaestimationmethodforexponentialtypecoherentdistributedsourcebasedonfourthordercumulant
AT binba centraldoaestimationmethodforexponentialtypecoherentdistributedsourcebasedonfourthordercumulant
AT haiyunxu centraldoaestimationmethodforexponentialtypecoherentdistributedsourcebasedonfourthordercumulant
AT yankuizhang centraldoaestimationmethodforexponentialtypecoherentdistributedsourcebasedonfourthordercumulant